10481978592 has 144 divisors (see below), whose sum is σ = 32296183920. Its totient is φ = 3211923456.

The previous prime is 10481978543. The next prime is 10481978597. The reversal of 10481978592 is 29587918401.

It is a happy number.

10481978592 is a `hidden beast` number, since 1 + 0 + 48 + 1 + 9 + 7 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481978597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185634 + ... + 235422.

It is an arithmetic number, because the mean of its divisors is an integer number (224279055).

Almost surely, 2^10481978592 is an apocalyptic number.

10481978592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148091960).

10481978592 is an abundant number, since it is smaller than the sum of its proper divisors (21814205328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10481978592 is a wasteful number, since it uses less digits than its factorization.

10481978592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49865 (or 49854 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10481978592 in words is "ten billion, four hundred eighty-one million, nine hundred seventy-eight thousand, five hundred ninety-two".